# Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean

@article{Chu2015ConvexityAC, title={Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean}, author={Yuming Chu and Tie-hong Zhao}, journal={Journal of Inequalities and Applications}, year={2015}, volume={2015}, pages={1-6} }

In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean.

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